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Finding the Third Proportional to 510,052 and 787,023

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Solution

The third proportional to 510,052 and 787,023 is: 1,214,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,052 : 787,023 = 787,023 : x
  2. Step 2: Convert to fraction form
    510,052/787,023 = 787,023/x
  3. Step 3: Cross multiply
    510,052x = 787,023 × 787,023
  4. Step 4: Simplify right side
    510,052x = 619,405,202,529
  5. Step 5: Solve for x
    x = 619,405,202,529/510,052
  6. Step 6: Final answer
    x = 1,214,396.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.